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The sum of the squares of a triangle's two sides

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papagorgio
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The sum of the squares of a triangle's two sides [#permalink] New post   14 Jul 2017, 09:54
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

80% (00:58) correct 20% (00:24) wrong based on 5 sessions
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The sum of the squares of a triangle's two sides, other than its longest side, does not equal the triangles third side. The angles of the triangle can be any of the following EXCEPT:

a) 5
b) 25
c) 60
d) 90
e) 110



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D
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quantumliner
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Re: The sum of the squares of a triangle's two sides [#permalink] New post   14 Jul 2017, 11:05
If "The sum of the squares of a triangle's two sides equals the square of its longest side", then the triangle is a Right Angled Triangle.

In this case the above is not true, so clearly the triangle in question is not a Right Angled Triangle.

Therefore, 90 cannot be an angle of the triangle.

Answer is D
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Re: The sum of the squares of a triangle's two sides [#permalink] New post   15 Jul 2017, 00:48
since the sides of the triangle is not equal to the third side then the triangle is not a right triangle and hence the angle cannot be 90 degrees. So the answer is D



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Re: The sum of the squares of a triangle's two sides [#permalink]
15 Jul 2017, 00:48
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